One of my students recently wanted to know the difference. and I guess examples is the best way of explaining.
(Found is the past of find)
I found my keys.
I found my driving license.
I found my passport.
I found a place for dinner.
I found help.
I found out what the word “landscape” meant in the dictionary.
I found out where I could go for a good curry in Lyon.
I found out why she split up with her boyfriend.
I figured out how to solve the rubic’s cube.
I figured out how to use the phone.
I figured out how to get from Bellecour to La Mulatière using google maps.
I figured out what was wrong with me.
I figured out the best way to learn English!